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Finding the Fourth Proportional to 489,297.30, 733,982.40 and 173,713.20

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Solution

The fourth proportional to 489,297.30, 733,982.40 and 173,713.20 is: 260,582.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,297.30 : 733,982.40 = 173,713.20 : x
  2. Step 2: Convert to fraction form
    489,297.30/733,982.40 = 173,713.20/x
  3. Step 3: Cross multiply
    489,297.30x = 733,982.40 × 173,713.20
  4. Step 4: Simplify right side
    489,297.30x = 127,502,431,447.68
  5. Step 5: Solve for x
    x = 127,502,431,447.68/489,297.30
  6. Step 6: Final answer
    x = 260,582.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.